Live analysis

1,008,001

1,008,001 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,008,001 (one million eight thousand one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xF6181.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Palindrome Palindromic Prime Prime Pythagorean Prime Recamán's Sequence Squarefree Strobogrammatic

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

1,007,989 1,007,990 1,007,991 1,007,992 1,007,993 1,007,994 1,007,995 1,007,996 1,007,997 1,007,998 1,007,999 1,008,000 1,008,001 1,008,002 1,008,003 1,008,004 1,008,005 1,008,006 1,008,007 1,008,008 1,008,009 1,008,010 1,008,011 1,008,012 1,008,013

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: Yes
Bit width: 20 bits
Recamán's sequence: a(349,449) = 1,008,001
Square (n²): 1,016,066,016,001
Cube (n³): 1,024,195,560,195,024,001
Divisor count: 2
σ(n) — sum of divisors: 1,008,002
φ(n) — Euler's totient: 1,008,000

Primality

1,008,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1008001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,008,001)

1 × 1008001

First multiples

1,008,001 · 2,016,002 (double) · 3,024,003 · 4,032,004 · 5,040,005 · 6,048,006 · 7,056,007 · 8,064,008 · 9,072,009 · 10,080,010

Sums & aliquot sequence

As a sum of two squares: 100² + 999²

As consecutive integers: 504,000 + 504,001

Continued fraction of √n

√1,008,001 = [1003; (1, 132, 1, 6, 2, 8, 2, 5, 2, 2, 2, 25, 1, 1, 1, 24, 2, 3, 2, 41, 2, 1, 1, 8, …)]

Representations

In words: one million eight thousand one
Ordinal: 1008001st
Binary: 11110110000110000001
Octal: 3660601
Hexadecimal: 0xF6181
Base64: D2GB
One's complement: 4,293,959,294 (32-bit)
Scientific notation: 1.008001 × 10⁶
As a duration: 1,008,001 s = 11 days, 16 hours, 1 second

In other bases

ternary (3) 1220012201101

quaternary (4) 3312012001

quinary (5) 224224001

senary (6) 33334401

septenary (7) 11365531

nonary (9) 1805641

undecimal (11) 629365

duodecimal (12) 407401

tridecimal (13) 293a67

tetradecimal (14) 1c34c1

pentadecimal (15) 14da01

As an angle

1,008,001° = 2,800 × 360° + 1°

1° ≈ 0.017 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Chinese: 一百萬八千零一
Chinese (financial): 壹佰萬捌仟零壹

In other modern scripts

Eastern Arabic ١٠٠٨٠٠١ Devanagari १००८००१ Bengali ১০০৮০০১ Tamil ௧௦௦௮௦௦௧ Thai ๑๐๐๘๐๐๑ Tibetan ༡༠༠༨༠༠༡ Khmer ១០០៨០០១ Lao ໑໐໐໘໐໐໑ Burmese ၁၀၀၈၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,007,977 (gap of 24)
Next prime: 1,008,013 (gap of 12)

Hex color

#0F6181

RGB(15, 97, 129)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.129.

Address: 0.15.97.129
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.129

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,008,001 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,008,001 on Google Patents ↗ Look up on USPTO ↗